Question

A family goes to a restaurant. When the bill comes, this is printed at the bottom of it: Gratuity Guide For Your Convenience: $15 \%$ would be $\$ 4.89$ $18 \%$ would be $\$ 5.87$ $20 \%$ would be $\$ 6.52$ How much was the price of the meal? Explain your reasoning.

Name: Problem 5, Chapter 5: Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition
Uploaded: 2022-01-06T16:23:42-08:00
Duration: 1 min 30 s
Channel: Allison Knapp
Description: A family goes to a restaurant. When the bill comes, this is printed at the bottom of it: Gratuity Guide For Your Convenience: 15 % would be 4.89 18 % would be 5.87 20 % would be 6.52 How much was the price of the meal? Explain your reasoning.

   A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
Gratuity Guide For Your Convenience:
$15 \%$ would be $\$ 4.89$
$18 \%$ would be $\$ 5.87$
$20 \%$ would be $\$ 6.52$
How much was the price of the meal? Explain your reasoning.

Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 7th Edition

Chapter 5, Problem 5

Instant Answer

Solved by Expert Allison Knapp

01/06/2022

Step 1

89. We can write this as an equation: \[0.15X = 4.89\] where X is the total bill. Show more…

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A family goes to a restaurant. When the bill comes, this is printed at the bottom of it: Gratuity Guide For Your Convenience: $15 \%$ would be $\$ 4.89$ $18 \%$ would be $\$ 5.87$ $20 \%$ would be $\$ 6.52$ How much was the price of the meal? Explain your reasoning.

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Key Concepts

Percentage Calculation

This involves converting a percentage into its decimal equivalent and then calculating that percentage of a given number by using multiplication. In contexts such as tipping, it allows you to determine what portion of a total amount is represented by a given percentage.

Proportional Reasoning

Proportional reasoning is about setting up and analyzing the relationship between two quantities that vary in a constant ratio. Here, it is used to relate the tip amount to the total meal cost through the given percentages, enabling you to determine the full price from a part of it.

Algebraic Equation Solving

This concept is used to create and solve an equation based on the relationship between the tip percentage and the total amount. By setting an equation like 0.15 multiplied by the meal cost equals a given tip amount, you can solve for the unknown total, applying basic algebraic manipulations.

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